Well, yes, but it doesn't really give the expected output, since the
LyricHyphen does not use the glyph of the LyricText font, but instead a
custom line markup.
I never managed to understand this rationale in the first place, and
there even is a note in the sources to change this behaviour. [1]

But for what is implemented now, I don't see how to do this without
excessive ugly Scheme-hacking, like Neil proposed. Once I also tried to
exchange the LyricHyphen stencil to mimic LyricText, but to no avail -
AFAICS, the alignment of the hyphens is more or less hard-coded in the
C++ part.

@ Robert:
In summary, I don't think there is an easier way. I might be wrong, though.
Cheers,
Alexander
[1]
lily/lyric-hyphen.cc: (line 555-556)
"TODO: should extract hyphen dimensions or hyphen glyph from the font."

I could not find it in the bug tracker, though, thus my cross-post to
the bug- list.